2988

2988 is an even integer that appears in ordinary arithmetic and number theory. In prime factorization form it equals 2^2 × 3^2 × 83, which shows it is a composite number. Consequently, 2988 has 18 positive divisors: 1, 2, 3, 4, 6, 9, 12, 18, 36, 83, 166, 249, 332, 498, 747, 996, 1494, and 2988. The sum of its digits is 27, so the number is divisible by 3 and by 9; indeed 2988 ÷ 9 = 332 and 2988 ÷ 36 = 83.

Representations and conversions: in binary, 2988 is 101110101100; in hexadecimal it is BAC (that is 0xBAC); in Roman numerals it is MMCMLXXXVIII. In modular arithmetic, 2988 ≡ 0 mod 2, 4, 6, 12, 18, and 36, among others.

Context: As a natural number, 2988 sits between 2987 and 2989. It has no widely noted historical associations or constants of particular prominence, but it serves as a representative example in teaching and exercises involving prime factorization, divisor counting, and base conversions.